Compare 36/72 and 56/75
36/72 is smaller than 56/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 75 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 72 × 25 = 1800,
36/72 = 36 × 25/72 × 25 = 900/1800 - Likewise, for the 2nd fraction, since 75 × 24 = 1800,
56/75 = 56 × 24/75 × 24 = 1344/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 900/1800 < 1344/1800 or 36/72 < 56/75
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